10229613458688 has 864 divisors, whose sum is σ = 35415542601600. Its totient is φ = 2901086502912.

The previous prime is 10229613458681. The next prime is 10229613458693. The reversal of 10229613458688 is 88685431692201.

10229613458688 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 9 + 613 + 4 + 5 + 8 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229613458681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821187756 + ... + 821200212.

Almost surely, 2^{10229613458688} is an apocalyptic number.

10229613458688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10229613458688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707771300800).

10229613458688 is an abundant number, since it is smaller than the sum of its proper divisors (25185929142912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10229613458688 is a wasteful number, since it uses less digits than its factorization.

10229613458688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 10229613458688 in words is "ten trillion, two hundred twenty-nine billion, six hundred thirteen million, four hundred fifty-eight thousand, six hundred eighty-eight".